Vertices, sources and Green correspondents of the simple modules for the large Mathieu groups
Vertices, sources and Green correspondents of the simple modules for the large Mathieu groups
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DOI：
10.1016/j.jalgebra.2009.03.035
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发表时间：
2009-12
影响因子：
0.9
通讯作者：
S. Danz;B. Külshammer
中科院分区：
文献类型：
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作者：
S. Danz;B. Külshammer
我们研究了零星简单马蒂厄群 M22、M23 和 M24 的简单模，以及特征 2 和 3 中 M22 的自同构群、覆盖群和双环扩张的简单模。我们确定了这些简单模的顶点和源以及 Green 对应项。我们还在这些群中发现了两个具有 9 阶基本阿贝尔缺陷群的 3 块，它们与它们的布劳尔对应群是 Morita 等价的。
We investigate the simple modules for the sporadic simple Mathieu groups M22, M23and M24as well as those of the automorphism group, the covering groups and the bicyclic extensions of M22in characteristics 2 and 3. We determine the vertices and sources as well as the Green correspondents of these simple modules. We also find two 3-blocks with elementary abelian defect groups of order 9 in these groups which are Morita equivalent to their Brauer correspondents.